Divock Origi has told Liverpool he wants to move to Anfield in January but accepts an early arrival in the Premier League can take place only with the consent of Lille.

The 19-year-old forward, who scored a fine goal for Belgium against Iceland on Wednesday, joined Liverpool from Lille in the summer for £9.8m with the transfer dependent on him remaining with the French club on loan this season. Origi has stayed in regular contact with Brendan Rodgers and, with Liverpool struggling in front of goal, has raised the prospect of increasing the manager’s options in the next transfer window.

A premature move would suit both Origi and Liverpool, who are believed to be willing to pay extra to bring the transfer forward to January. However, the striker admits Lille need to agree to break the original deal and Liverpool have had no encouragement that could happen.

He said: “Maybe January, who knows? It is not me who makes the decisions but if the club choose to let me go in January I would go. I would like to join Liverpool then. I said that I would stay for the whole season and I wish to remain honourable in that, of course, but if there was a decision by the clubs, I would not say that I would not like to go to Liverpool in January.

“Brendan Rodgers is in contact regularly. That makes me feel very good and wanted. And although I agreed to stay with Lille until the end of this season, if there was a chance of joining Liverpool sooner I would take it.

“I would love to move to Liverpool sooner rather than later. I am here at Lille, it is fine, they are a good club and they have helped me. But it is also frustrating. It is French football. I can’t wait to be playing in the Premier League because I can now see that it will suit me better.”

Origi, who was preferred to Romelu Lukaku in Belgium’s final two games at the World Cup in Brazil, has kept a close eye on Liverpool’s problems without Luis Suárez and the injured Daniel Sturridge. He added: “They have a team with a lot of talent, with a lot of good players and a very good coach. But they have had a lot of injuries and this has not helped them.

“It is difficult when you do not have a player like Daniel Sturridge. I believe they just have to be more efficient but I also believe that it is only a matter of time before it comes.”

Sturridge has been sidelined since August with thigh and calf injuries but is expected to return for Liverpool’s next game after the international break at Crystal Palace on Sunday 23 November.